The present study shows data for direct flights from Orlando toMiami for one airline. The airline claims that the flying time(time in the air) of direct flights from Orlando to Miami takes 45minutes. The company would like to test the claim and collects arandom sample of 90 flights. We will find the average and standarddeviation for the flights’ times for the random sample of flights.We will use Excel functions to find the critical value(s) thatdefine(s) the rejection region. We will use formulas to find thetest statistic, compare it with our critical value(s), and decideif we should reject or not reject the null hypothesis. We will usedifferent alpha levels to test the hypothesis. We will find theobserved level of significance and use it to make conclusions aboutthe claim. We will identify possible errors made and their types.Assume that the distribution of the flight times is normal and thesample is randomly selected.
| Flight Duration (Time in the air) in minutes |
| 45.0 |
| 42.0 |
| 41.0 |
| 38.0 |
| 41.0 |
| 44.0 |
| 51.0 |
| 47.0 |
| 43.0 |
| 40.0 |
| 46.0 |
| 45.0 |
| 43.0 |
| 44.0 |
| 43.0 |
| 39.0 |
| 44.0 |
| 48.0 |
| 48.0 |
| 51.0 |
| 50.0 |
| 43.0 |
| 41.0 |
| 51.0 |
| 40.0 |
| 45.0 |
| 49.0 |
| 55.0 |
| 41.0 |
| 41.0 |
| 40.0 |
| 41.0 |
| 45.0 |
| 50.0 |
| 47.0 |
| 50.0 |
| 42.0 |
| 46.0 |
| 48.0 |
| 44.0 |
| 42.0 |
| 47.0 |
| 46.0 |
| 48.0 |
| 48.0 |
| 51.0 |
| 48.0 |
| 59.0 |
| 46.0 |
| 47.0 |
| 52.0 |
| 49.0 |
| 50.0 |
| 50.0 |
| 52.0 |
| 49.0 |
| 42.0 |
| 42.0 |
| 43.0 |
| 45.0 |
| 39.0 |
| 49.0 |
| 48.0 |
| 49.0 |
| 43.0 |
| 41.0 |
| 45.0 |
| 43.0 |
| 43.0 |
| 50.0 |
| 42.0 |
| 46.0 |
| 41.0 |
| 47.0 |
| 43.0 |
| 51.0 |
| 48.0 |
| 47.0 |
| 43.0 |
| 50.0 |
| 44.0 |
| 42.0 |
| 56.0 |
| 49.0 |
| 46.0 |
| 44.0 |
| 48.0 |
| 51.0 |
| 51.0 |
| 49.0 |
1) find the Standard Deviation of the flight time for the sampleflights
2) find the sample size of the sample of flights
3) to test the null hypothesis for the mean flight time, what isthe appropriate probably table to use?
4) identify the degrees of freedom needed to find the criticalvalues?
5) the company would like to test the claim (null hypothesis)that the flight takes 45 minutes against the alternative that itdoes not. is this a two sided test?
6) find the value of the test statistic
7) find a one-sided critical value from the appropriateprobability table to test the claim at alpha = 0.05
8) What is/are the sign(s) of the critical value(s) for the testof the hypothesis at alpha=0.05?
9) By assessing the answers above, do you reject the nullhypothesis? why?
Show formula if possible. Thank you
